An efficient optimal fourth-order iterative method for scalar equations

被引：0

作者：

Ali, Faisal ^{[1
]}

Aslam, Waqas ^{[2
]}

Nadeem, Ghulam Akbar ^{[1
]}

机构：

[1] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math, Multan 60800, Pakistan

[2] Govt Coll Elementary Teachers Rangeelpur, Multan, Pakistan

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 49期

关键词：

iterative methods; nonlinear equations; order of convergence; linear combination; NONLINEAR EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, using linear combination technique, we introduce an optimal three-step iterative scheme for solving nonlinear equations. We prove the convergence of the proposed method. In order to demonstrate the performance of newly developed method, we consider some commonly used nonlinear equations for numerical as well as graphical comparisons. We also explore polynomiographs in the context of some complex polynomials.

引用

页码：754 / 770

页数：17

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